8612899680 has 384 divisors, whose sum is σ = 33965568000. Its totient is φ = 1782282240.

The previous prime is 8612899679. The next prime is 8612899681. The reversal of 8612899680 is 869982168.

It is an interprime number because it is at equal distance from previous prime (8612899679) and next prime (8612899681).

It is a self number, because there is not a number n which added to its sum of digits gives 8612899680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8612899681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17260071 + ... + 17260569.

It is an arithmetic number, because the mean of its divisors is an integer number (88452000).

Almost surely, 2^8612899680 is an apocalyptic number.

8612899680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8612899680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784000).

8612899680 is an abundant number, since it is smaller than the sum of its proper divisors (25352668320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8612899680 is a wasteful number, since it uses less digits than its factorization.

8612899680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The square root of 8612899680 is about 92805.7093071326. The cubic root of 8612899680 is about 2049.8234771659.

The spelling of 8612899680 in words is "eight billion, six hundred twelve million, eight hundred ninety-nine thousand, six hundred eighty".